Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2) of cardboard he will need. Use 4(12)bh+b2 , where b , the base of the pyramid, is 3 in. and h , the height of the pyramid, is 8 in.(1 point)
To find the amount of cardboard Leonard will need, we need to calculate the surface area of the pyramid.
Using the formula given: 4(12)bh + b^2,
we can substitute the given values:
4(12)(3)(8) + 3^2
Simplifying the equation:
4(12)(24) + 9
1152 + 9
The total amount of square inches of cardboard Leonard will need is 1161 in.2.
To find the number of square inches of cardboard Leonard will need to construct the pyramid, you can use the formula for the surface area of a pyramid:
Surface Area = 4(12)bh + b^2
Given that the base of the pyramid (b) is 3 inches and the height (h) is 8 inches, we can substitute these values into the formula:
Surface Area = 4(12)(3)(8) + 3^2
Simplifying, we have:
Surface Area = 4(36)(8) + 9
= 1152 + 9
= 1161
Therefore, Leonard will need 1161 square inches (in.^2) of cardboard to construct the pyramid.
To find how many square inches of cardboard Leonard will need, we can use the formula for the surface area of a pyramid:
Surface Area = 4(12)bh + b^2
Given that the base of the pyramid (b) is 3 inches and the height (h) is 8 inches, we can substitute these values into the formula and calculate the surface area:
Surface Area = 4(12)(3)(8) + 3^2
Surface Area = 4(36)(8) + 9
Surface Area = 1152 + 9
Surface Area = 1161 square inches
So, Leonard will need 1161 square inches of cardboard to construct the pyramid.